Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
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Answer the photo below thanks
Answer:
x=50
Step-by-step explanation:
65+65=130
180-130=50
Answer:
50 is the answer
Step-by-step explanation:
this is a isosceles triangle having 65 and 65
then 65 + 65 + x = 180 property of traingle
130 + x = 180
x = 180- 130 = 50
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5
Answer:
B: 3
Step-by-step explanation:
2x
x=3 3times2= 6
6+4 =10
Hope this helps
m-3/18=11/18 What is m??
Answer:
I think m is a variable
Step-by-step explanation:
because a variable is a letter representing a unknown amount
Step-by-step explanation:
hope this will help you.
3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.
Answer:
320 cm sq
Step-by-step explanation:
Mariana is painting her new bedroom purple. She has decided to mix her own purple paint. To create the shade of purple she likes best, she must maintain a ratio of 5 ounces red to 6 ounces blue. If she has 21 ounces of blue paint, how much red paint will she need?
Answer:
Red paint needed = x = 17.5 ounces
Step-by-step explanation:
Ratio of red to blue paint = 5 ounces : 6 ounces
If she has 21 ounces of blue paint, how much red paint will she need?
Ratio of red to blue paint = x ounces : 21 ounces
Equate the ratios
5 : 6 = x : 21
5/6 = x/21
Cross multiply
5*21 = 6*x
105 = 6x
x = 105/6
x = 17.5 ounces
Red paint needed = x = 17.5 ounces
Identify the exponential function for the given graph.
A)
f(x) = (şs* +2
f(%) (şyx - 2
f(x) = (-3;* + 2
f(x) = (–33* - 2
9.
D)
Answer:
Step-by-step explanation:
C - 3(2^x).
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
Just give me the answer
Answer:
y^6 is the simplest form
Answer:
y=6
Step-by-step explanation:
THATS KHANACADEMY RIGHT LOLLL
[tex]\frac{1}{4} ^{0}[/tex]
how do I solve this equation?
Answer:
The solution is 1.
Step-by-step explanation:
Any number raised to the 0th power will always be 1.
Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM
Answer:
Step-by-step explanation:
Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.
So that;
NR ≅ OP (property of a regular polygon)
PM ≅ RM (half of the distance across flats of a polygon)
NM ≅ OM (half of the distance across flats of a polygon)
<NMR ≅ <PMO (vertically opposite angles)
<NRM ≅ <OPM (alternate angle property)
<RNM ≅ <POM (alternate angle property)
This therefore proves that: ΔNRM = ΔOPM
If 3x−y=12, what is the value of
8x
2y
Answer:
[tex]8x=32\\2y=-24[/tex]
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
[tex]3x-y(0)=12\\3x=12\\x=4\\4*8=32\\8x=32\\\\3(0)-y=12\\-y=12\\y=-12\\-12*2=-24\\2y=-24[/tex]
Write a rule for the linear function in the table.
A.
y = 1.2x + 2.4
B.
y = –1.2x – 2.4
C.
y = 1.2x – 2.4
D.
y = –1.2x + 2.4
Answer:
the answer is B
Step-by-step explanation:
the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)
Answer: Gradpoint answer
B. y = –1.2x – 2.4
Step-by-step explanation: My answer
A. y = 1.2x + 2.4
What is the length of AB?
Answer: 6 units
Step-by-step explanation:
I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.
Answer:
AB = 38.64 m
Step-by-step explanation:
[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]
AB = 38.64 m
4. (Claim 1 Example)
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
H
16 ft
Ladder
20 ft
0°
Х
Ground
Select all equations that can be used to solve for e.
12
12
sino =
cos 0 =
A.
20
B.
20
tan
C.
12
20
16
sin =
20
16
cos O =
20
tan
16
20
D.
E.
F.
Answer:
D
Step-by-step explanation:
using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)
D is the only one that uses the correct equation of S = o/h
(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)
Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make
Answer:
479,001,600 different arrangements
Step-by-step explanation:
beş üzeri üç ekşi otuz bölübeş eksi iki üzeri iki işlemini sonucu aşağıdakilerden hangisidir?
A) 15
B) 78
C) 95
D) 115
cevaplarınızı bekliyorum.
Ce clasă ești sa văd daca te pot ajuta
Nancy was baking a cake for her mom's birthday. She spent
of her time measuring
the ingredients and of her time mixing. If Nancy spend 35 minutes on these two
4.
activities, how many total minutes did she spend baking?
34 divided by 4 is 8.5 minutes in all 4 activities.
I need help with this question!
Answer:
sorry but don't know this answer
Samuel Morse determined that the percentage of t's being used in the English language in the 1800's was 9%. A random sample of 600 letters from a current newspaper contained 48 t's. Test the claim that the proportion of t's has changed in modern times, using the current newspaper data and a significance level of 0.05
Answer:
There is insufficient evidence to indicate that the population proportion of t’s in modern newspaper is different from 0.09. The result is not statistically significant
Step-by-step explanation:
H0 : p0 = 0.09
H1 : p0 ≠ 0.09
Sample size, n = 600 ; α = 0.05
Decision region
Zstatistic < Zcritical ; reject H0
P = 48 / 600 = 0.08
Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)
Zstatistic = (0.08 - 0.09) ÷ sqrt(0.09(0.91))/600)
Zstatistic = - 0.01 /0.0116833
Zstatistic = - 0.856
Zcritical at 0.05, = - 1.96
Zstatistic > Zcritical
-0.856 > - 1.96
Hence, we fail to reject the Null
broooo plzzz helpppp
Answer:
3 3/5 + 1 1/4 = 4 17/20
7/8 + 1/12 = 23/24
8/9 - 2/5 = 22/45
5 1/4 - 2 2/3 = 2 7/12
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
Next problem:
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
Next problem:
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
Next problem:
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
d-1/2=5/12 what is d??
Answer:
d = [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
1) To solve for d, isolate it in the equation. So, to get rid of the [tex]-\frac{1}{2}[/tex] with the d, add [tex]\frac{1}{2}[/tex] to both sides.
[tex]d-\frac{1}{2} = \frac{5}{12} \\d - \frac{1}{2} +\frac{1}{2} = \frac{5}{12} + \frac{6}{12} \\d = \frac{11}{12}[/tex]
Thus, d = [tex]\frac{11}{12}[/tex].
Mr. Berger assigned the following system of equations to be solved for homework.
2 x minus 3 y = negative 12. 4 x + y = negative 10.
Which is the x-coordinate of the correct solution?
x = negative 3
x = negative one-fifth
x = StartFraction 9 Over 7 EndFraction
x = 2
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
Answer:
X=3
Step-by-step explanation:
Trust me ;))
Can anyone help me with this question...please i really need your help....
(Express the variable in the brackets as the subject of formula)
9514 1404 393
Answer:
p = q/(2 -3q)
Step-by-step explanation:
[tex]\dfrac{2p}{3p+1}=q \qquad\text{given}\\\\2p=q(3p+1) \qquad\text{multiply by the denominator}\\\\ 2p=3pq+q \qquad\text{eliminate parentheses}\\\\ 2p -3pq = q \qquad\text{subtract $3pq$}\\\\ p(2-3q)=q \qquad\text{factor out $p$}\\\\ \boxed{p=\dfrac{q}{2-3q}} \qquad\text{divide by the coefficient of p}[/tex]
How do you simplify 14.938 - 14.93 ?
Please help
Answer:
0.008
Step-by-step explanation:
To know the steps pls look at the pic above
−5⋅16 will result in a
number. Is it positive or negative
Answer:
negative
Step-by-step explanation:
-5x16=-80
Answer:
negitive
Step-by-step explanation:
a negitave multiplied by a positive is still a negitive
janet buys 12 pencils for $1.49. what is the cost per pencil?
Answer:
0.124$
...............
you can simply divide the price of the pencils = 1•49$
by the number of pencils bought = 12
1•49/12
= 0•124$
Answer: 0.124166667 U.S. dollars
((1 U.S. dollar) + (49 U.S. cents)) / 12 =
0.124166667 U.S. dollars
The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of nerds to skittles. Be sure to simplify.
Answer:
ratio of nerds to Skittles
= 10:22
= 5:11
Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards
the answer is B because there is 36 inches in 1 yard
Answer:
Its 2 yards
Step-by-step explanation:
divide 72 by 36
Geometry help, please!!!
provide the missing reasons for the proof.
Given:
Prove: ΔABC ~ ΔDBE
_____________________________________________
picture provided below
Answer:
1: Given
2: Verical angles are always congruent
3: Angle Angle theorem